Name: Calculus Single Variable 6E By Deborah Hughes-Hallett
SKU: 9780470888643
Price: 10.38 USD
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Calculus Single Variable 6E Summary

Calculus Single Variable 6E by Deborah Hughes-Hallett

Calculus: Single Variable, 6th Edition continues the effort to promote courses in which understanding and computation reinforce each other. The 6th Edition reflects the many voices of users at research universities, four-year colleges, community colleges, and secondary schools. This new edition has been streamlined to create a flexible approach to both theory and modeling. For instructors wishing to emphasize the connection between calculus and other fields, the text includes a variety of problems and examples from the physical, health, and biological sciences, engineering and economics. In addition, new problems on the mathematics of sustainability and new case studies on calculus in medicine by David E. Sloane, MD have been added.

1 A LIBRARY OF FUNCTIONS 1.1 FUNCTIONS AND CHANGE 1.2 EXPONENTIAL FUNCTIONS 1.3 NEW FUNCTIONS FROM OLD 1.4 LOGARITHMIC FUNCTIONS 1.5 TRIGONOMETRIC FUNCTIONS 1.6 POWERS, POLYNOMIALS, AND RATIONAL FUNCTIONS 1.7 INTRODUCTION TO CONTINUITY 1.8 LIMITS REVIEW PROBLEMS PROJECTS 2 KEY CONCEPT: THE DERIVATIVE 2.1 HOW DO WE MEASURE SPEED? 2.2 THE DERIVATIVE AT A POINT 2.3 THE DERIVATIVE FUNCTION 2.4 INTERPRETATIONS OF THE DERIVATIVE 2.5 THE SECOND DERIVATIVE 2.6 DIFFERENTIABILITY REVIEW PROBLEMS PROJECTS 3 SHORT-CUTS TO DIFFERENTIATION 3.1 POWERS AND POLYNOMIALS 3.2 THE EXPONENTIAL FUNCTION 3.3 THE PRODUCT AND QUOTIENT RULES 3.4 THE CHAIN RULE 3.5 THE TRIGONOMETRIC FUNCTIONS 3.6 THE CHAIN RULE AND INVERSE FUNCTIONS 3.7 IMPLICIT FUNCTIONS 3.8 HYPERBOLIC FUNCTIONS 3.9 LINEAR APPROXIMATION AND THE DERIVATIVE 3.10 THEOREMS ABOUT DIFFERENTIABLE FUNCTIONS REVIEW PROBLEMS PROJECTS 4 USING THE DERIVATIVE 4.1 USING FIRST AND SECOND DERIVATIVES 4.2 OPTIMIZATION 4.3 OPTIMIZATION AND MODELING 4.4 FAMILIES OF FUNCTIONS AND MODELING 4.5 APPLICATIONS TO MARGINALITY 4.6 RATES AND RELATED RATES 4.7 L'HOPITAL'S RULE, GROWTH, AND DOMINANCE 4.8 PARAMETRIC EQUATIONS REVIEW PROBLEMS PROJECTS 5 KEY CONCEPT: THE DEFINITE INTEGRAL 5.1 HOW DO WE MEASURE DISTANCE TRAVELED? 5.2 THE DEFINITE INTEGRAL 5.3 THE FUNDAMENTAL THEOREM AND INTERPRETATIONS 5.4 THEOREMS ABOUT DEFINITE INTEGRALS REVIEW PROBLEMS PROJECTS 6 CONSTRUCTING ANTIDERIVATIVES 6.1 ANTIDERIVATIVES GRAPHICALLY AND NUMERICALLY 6.2 CONSTRUCTING ANTIDERIVATIVES ANALYTICALLY 6.3 DIFFERENTIAL EQUATIONS AND MOTION 6.4 SECOND FUNDAMENTAL THEOREM OF CALCULUS REVIEW PROBLEMS PROJECTS 7 INTEGRATION 7.1 INTEGRATION BY SUBSTITUTION 7.2 INTEGRATION BY PARTS 7.3 TABLES OF INTEGRALS 7.4 ALGEBRAIC IDENTITIES AND TRIGONOMETRIC SUBSTITUTIONS 7.5 NUMERICAL METHODS FOR DEFINITE INTEGRALS 7.6 IMPROPER INTEGRALS 7.7 COMPARISON OF IMPROPER INTEGRALS REVIEW PROBLEMS PROJECTS 8 USING THE DEFINITE INTEGRAL 8.1 AREAS AND VOLUMES 8.2 APPLICATIONS TO GEOMETRY 8.3 AREA AND ARC LENGTH IN POLAR COORDINATES 8.4 DENSITY AND CENTER OF MASS 8.5 APPLICATIONS TO PHYSICS 8.6 APPLICATIONS TO ECONOMICS 8.7 DISTRIBUTION FUNCTIONS 8.8 PROBABILITY, MEAN, AND MEDIAN REVIEW PROBLEMS PROJECTS 9 SEQUENCES AND SERIES 9.1 SEQUENCES 9.2 GEOMETRIC SERIES 9.3 CONVERGENCE OF SERIES 9.4 TESTS FOR CONVERGENCE 9.5 POWER SERIES AND INTERVAL OF CONVERGENCE REVIEW PROBLEMS PROJECTS 10 APPROXIMATING FUNCTIONS USING SERIES 10.1 TAYLOR POLYNOMIALS 10.2 TAYLOR SERIES 10.3 FINDING AND USING TAYLOR SERIES 10.4 THE ERROR IN TAYLOR POLYNOMIAL APPROXIMATIONS 10.5 FOURIER SERIES REVIEW PROBLEMS PROJECTS 11 DIFFERENTIAL EQUATIONS 11.1 WHAT IS A DIFFERENTIAL EQUATION? 11.2 SLOPE FIELDS 11.3 EULER'S METHOD 11.4 SEPARATION OF VARIABLES 11.5 GROWTH AND DECAY 11.6 APPLICATIONS AND MODELING 11.7 THE LOGISTIC MODEL 11.8 SYSTEMS OF DIFFERENTIAL EQUATIONS 11.9 ANALYZING THE PHASE PLANE REVIEW PROBLEMS PROJECTS APPENDICES A ROOTS, ACCURACY, AND BOUNDS B COMPLEX NUMBERS C NEWTON'S METHOD D VECTORS IN THE PLANE READY REFERENCE ANSWERS TO ODD-NUMBERED PROBLEMS INDEX

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Sku

CIN0470888644VG

ISBN 13

9780470888643

ISBN 10

0470888644

Title

Calculus Single Variable 6E by Deborah Hughes-Hallett

Author

Deborah Hughes-Hallett

Condition

Used - Very Good

Binding type

Paperback

Publisher

John Wiley and Sons Ltd

Year published

20121122

Number of pages

768

Prizes

N/A

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Book picture is for illustrative purposes only, actual binding, cover or edition may vary.

Note

This is a used book - there is no escaping the fact it has been read by someone else and it will show signs of wear and previous use. Overall we expect it to be in very good condition, but if you are not entirely satisfied please get in touch with us

Calculus Single Variable 6E Deborah Hughes-Hallett

Calculus Single Variable 6E by Deborah Hughes-Hallett

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Calculus Single Variable 6E Summary

Calculus Single Variable 6E by Deborah Hughes-Hallett

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